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Finding the Third Proportional to 316,847 and 430,450

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Solution

The third proportional to 316,847 and 430,450 is: 584,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,847 : 430,450 = 430,450 : x
  2. Step 2: Convert to fraction form
    316,847/430,450 = 430,450/x
  3. Step 3: Cross multiply
    316,847x = 430,450 × 430,450
  4. Step 4: Simplify right side
    316,847x = 185,287,202,500
  5. Step 5: Solve for x
    x = 185,287,202,500/316,847
  6. Step 6: Final answer
    x = 584,784.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.